Tiêu đề Fourier Transform DPP Sheet 01.pdf ✅

3 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 (c)  | ( )| f  (d)  1 | ( )| f  Q.6. The variation of the phase factor of the fourier transform of the function in the frequency domain, will be (a)  1 f ( )  (b)  f ( )  (c) f ( )   (d) f ( )   Q.7. Consider the following rectangular pulse function (shown in the figure below): f t ( ) 1-T t 1+T 0 1 Which of the following graphs is CORRECT about the Fourier transform of the above function? (a) f ( )   T – /T  /T (b) f ( )   2T – /T  /T (c)  | ( )| f  (d)  | ( )| f 
4 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 Common Data for Q. 8 and Q. 9 The Fourier Transform of the function f t  is given as following:     i t F f t f t e dt           Consider the following one-sided exponentially decaying function, in the time domain (shown below): f t ( ) 1 t 0 Q.8. The variation of the modulus of the fourier transform of the function in the frequency domain, will be (a)  f ( )  (b)  f ( )  (c)  | ( )| f  (d)  | ( )| f  Q.9. The variation of the phase factor of the fourier transform of the function in the frequency domain, will be (a) f ( )   (b) f ( )   (c)  f ( )  /2 /2 (d)  f ( )  /2 /2 Q.10. The fourier transform of the dirac delta function f x x a        will be (a) 1 2 (b) 1  (c) 1 2 ika e   (d) 1 2 ka e 